Elliptic curves over $\Q$ of conductor 380

Conductor	j-invariant	Rank	Torsion	Complex multiplication
Bad$\ p$	Discriminant	Regulator	Analytic order of Ш	Galois image
Isogeny class size	Isogeny class degree	Cyclic isogeny degree	$p\ $div$\ $|Ш|	Nonmax$\ \ell$
Curves per isogeny class	Reduction	Integral points	Faltings height

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
380.a1	380a2	380.a	380a	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19 \)	\( 2^{8} \cdot 5^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2.183906378$	$1$		$3$	$48$	$-0.105160$	$472058064/475$	$[0, 0, 0, -103, -402]$	\(y^2=x^3-103x-402\)
380.a2	380a1	380.a	380a	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19 \)	\( 2^{4} \cdot 5 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1.091953189$	$1$		$3$	$24$	$-0.451734$	$3538944/1805$	$[0, 0, 0, -8, -3]$	\(y^2=x^3-8x-3\)
380.b1	380b1	380.b	380b	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19 \)	\( 2^{4} \cdot 5^{5} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$1$	$1$		$1$	$240$	$0.628373$	$5405726654464/407253125$	$[0, -1, 0, -921, 10346]$	\(y^2=x^3-x^2-921x+10346\)
380.b2	380b2	380.b	380b	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19 \)	\( - 2^{8} \cdot 5^{10} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1$	$1$		$1$	$480$	$0.974947$	$298091207216/3525390625$	$[0, -1, 0, 884, 44280]$	\(y^2=x^3-x^2+884x+44280\)